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# Are Apples, Bananas? No Sir? What Do We Do Now?

Lesson 4 of 25

## Objective: SWBAT determine when and how to combine unit terms, x-values, and x-squared values to simplify expressions.

## Big Idea: Let’s get hands on! Students will use classroom items to help determine when and how to combine like items. This will transition to deeper understanding in combining like terms mathematically.

*60 minutes*

**Teacher Guided Notes CCSS:** 7.EE

This lesson is intended for students to have a concrete understanding of simplifying expressions through using objects that they encounter every day. Talk through the first example picture with them. Ask them what the letter “a” and “b” are called mathematically? This is to understand that variables are important in simplifying expressions and equations. Why can we only combine apples with apples? This lesson will not have extensive teacher guided notes. The lesson has video, and hands on activities that will serve as note taking resources. **Students will practice mathematical practice 1,2,3,4,5,and 6. Please see full lesson plan for picture.**

#### Resources

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#### Bell Ringer

*10 min*

**Bell Ringer:**

After discussing the picture watch the YouTube video. The video does an awesome job in using family pictures to combine like terms. When showing the video, pause the video allowing students to engage in the examples the video has the students to complete. Always check for understanding by asking **guided questions**.

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#### In Class Task

*10 min*

**Activity**

After working through and discussing the bell ringer. Give the students the activity to work through with a partner. Allow the students to use the opening discussion, and bell ringer to work through the problems together. Try not to give too much direction with the activity. This is an opportunity to assess students understanding, or lack of understanding.

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#### Whole Group Discussion

*10 min*

**Whole Group Discussion**:

Once the time allotted for the pairs to complete the task has expired, allow students to share out their work. Each pair should share how they completed one problem. Allow the group to discuss each share out. Example questions could be, “Did we all solve the problem in the same manner? If not, what did you do differently? Did you come up with the same response? What were some things you see that could have been done differently? Is there a mistake here? Where is it? Why do you think the mistake was made? How can we avoid doing the same mistake?

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**Transition to typical way of simplifying expressions with variables**

To transition to the next day’s lesson, watch this YouTube video. This will show students the typical way in simplifying expressions. Be sure to discuss the comparisons from the activity task to the typical way of simplifying expressions.

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- UNIT 1: Introduction to Mathematical Investigations
- UNIT 2: Integers
- UNIT 3: Proportional Reasoning with Percents
- UNIT 4: Proportional Relationships
- UNIT 5: Proportional Reasoning
- UNIT 6: Rational Numbers
- UNIT 7: Number Sense Vocabulary 5 day mini unit
- UNIT 8: Expressions and Equations
- UNIT 9: Expressions and Equations 5 Day Application of Vocabulary Mini Unit

- LESSON 1: Writing Expressions ( A Review for lower level learners)
- LESSON 2: Simplifying Expressions Day One
- LESSON 3: Simplifying Expressions Day 2
- LESSON 4: Are Apples, Bananas? No Sir? What Do We Do Now?
- LESSON 5: Pre Assessment
- LESSON 6: Solving Multi-Step Real World Word Problems Involving Decimals
- LESSON 7: Solving Multi-Step Real World Word Problems Involving Mixed Numbers and Fractions
- LESSON 8: WP: Estimate the result of dividing or multiplying a whole number by a fraction
- LESSON 9: WP: Use a 1-variable 1-step equation to represent a situation
- LESSON 10: WP: Use a 1-variable linear inequality to represent a situation
- LESSON 11: WP: Answer a question involving a fraction and a percent
- LESSON 12: Evaluate an algebraic expression with one variable and two or three operations, using integer substitution
- LESSON 13: Add or subtract to simplify a linear expression with rational coefficients
- LESSON 14: Expand a linear expression with rational coefficients
- LESSON 15: Evaluate an algebraic expression with two variables and two or three operations, using integer substitution
- LESSON 16: Simplify an expression involving nested parentheses and integers
- LESSON 17: Simplify an expression involving nested parentheses, integers, and decimal numbers
- LESSON 18: WP: Answer a question involving a fraction and a decimal
- LESSON 19: Factor a Linear Expression with Rational Coefficients
- LESSON 20: WP: Solve a 2-step problem involving integers
- LESSON 21: WP: Solve a multi-step problem involving fractions or mixed numbers
- LESSON 22: WP: Solve a multi-step problem involving integers
- LESSON 23: WP: Solve a multi-step problem involving different forms of rational numbers
- LESSON 24: Solve a 2-step linear equation involving fractions
- LESSON 25: Solve a 2-step linear equation involving decimals